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A note on shape invariant potentials for discretized Hamiltonians
https://oist.repo.nii.ac.jp/records/2793
https://oist.repo.nii.ac.jp/records/2793260459d1-33a2-4cba-a1aa-7208a9250c79
名前 / ファイル | ライセンス | アクション |
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main (288.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-09-26 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A note on shape invariant potentials for discretized Hamiltonians | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Supersymmetric quantum mechanics | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者(英) |
Sonnenschein, Jonas
× Sonnenschein, Jonas× Tsulaia, Mirian |
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書誌情報 |
en : Modern Physics Letters A 巻 37, 号 23, p. 2250153, 発行日 2022-09-21 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Using the method of the “exact discretization” of the Schrödinger equation, we propose a particular discretized version of the N=2 Supersymmetric Quantum Mechanics (SQM). After defining the corresponding shape invariance condition, we show that the energy spectra and wave functions for discretized Quantum Mechanical systems can be found using the technique of N=2 Supersymmetric Quantum Mechanics exactly the same way as it is done for their continuous counterparts. As a demonstration of the present method, we find the energy spectrum for a discretized Coulomb potential and its ground state wave function. | |||||
出版者 | ||||||
出版者 | World Scientific Publishing | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0217-7323 | |||||
ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1793-6632 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1142/S021773232250153X | |||||
権利 | ||||||
権利情報 | © 2022 World Scientific Publishing Company | |||||
権利 | ||||||
権利情報 | Electronic version of an article published as 10.1142/s021773232250153x, © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/mpla | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.worldscientific.com/doi/epdf/10.1142/S021773232250153X | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |